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A121986 A vector Matrix Markov affine based on the tribonacci. +0
1
1, 1, 1, 4, 8, 16, 32, 61, 115, 215, 399, 738, 1362, 2510, 4622, 8507, 15653, 28797, 52973, 97440, 179228, 329660, 606348, 1115257, 2051287, 3772915, 6939483, 12763710, 23476134, 43179354, 79419226 (list; graph; listen)
OFFSET

1,4

FORMULA

M = {{0, 1, 0}, {0, 0, 1}, {1, 1, 1}}; v[0] = {1, 1, 1}; v[n_] := v[n] = M.v[n - 1] + {0, 0, n} a(n) = v[n][[1]]

MATHEMATICA

M = {{0, 1, 0}, {0, 0, 1}, {1, 1, 1}}; v[0] = {1, 1, 1}; v[n_] := v[n] = M.v[n - 1] + {0, 0, n} a = Table[v[n][[1]], {n, 0, 30}]

CROSSREFS

Cf. A014125.

Sequence in context: A003199 A007096 A036313 this_sequence A145108 A108569 A111073

Adjacent sequences: A121983 A121984 A121985 this_sequence A121987 A121988 A121989

KEYWORD

nonn,uned

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 09 2006

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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